Fibers on a graph with local load sharing
Statistical Mechanics
2009-11-11 v1
Abstract
We study a random fiber bundle model with tips of the fibers placed on a graph having co-ordination number 3. These fibers follow local load sharing with uniformly distributed threshold strengths of the fibers. We have studied the critical behaviour of the model numerically using a finite size scaling method and the mean field critical behaviour is established. The avalanche size distribution is also found to exhibit a mean field nature in the asymptotic limit.
Cite
@article{arxiv.cond-mat/0612384,
title = {Fibers on a graph with local load sharing},
author = {Uma Divakaran and Amit Dutta},
journal= {arXiv preprint arXiv:cond-mat/0612384},
year = {2009}
}
Comments
9 pages, 6 figures, To appear in International Journal of Modern Physics C